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Single-sample tests for many correlations

Single-sample tests for many correlations When more than one correlation coefficient is tested for significance in a study, the probability of making at least one Type I error rises rapidly as the number of tests increases, and the probability of making a Type I error after a Type I error on a previous test is usually greater than the nominal significance level used in each test. To avoid excessive Type I errors with multiple tests of correlations, it is noted that researchers should use procedures that answer research questions with a single statistical test and/or should use special multiple-test procedures. A review of simultaneous-test and multiple-test procedures for correlations (e.g. Bartlett and Rajalakshman's test, multistage Bonferroni procedure, union-intersection tests, and the rank adjusted method) is presented, and several new procedures are described. (40 ref) http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Psychological Bulletin American Psychological Association

Single-sample tests for many correlations

Psychological Bulletin , Volume 84 (3): 13 – May 1, 1977

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Publisher
American Psychological Association
Copyright
Copyright © 1977 American Psychological Association
ISSN
0033-2909
eISSN
1939-1455
DOI
10.1037/0033-2909.84.3.557
Publisher site
See Article on Publisher Site

Abstract

When more than one correlation coefficient is tested for significance in a study, the probability of making at least one Type I error rises rapidly as the number of tests increases, and the probability of making a Type I error after a Type I error on a previous test is usually greater than the nominal significance level used in each test. To avoid excessive Type I errors with multiple tests of correlations, it is noted that researchers should use procedures that answer research questions with a single statistical test and/or should use special multiple-test procedures. A review of simultaneous-test and multiple-test procedures for correlations (e.g. Bartlett and Rajalakshman's test, multistage Bonferroni procedure, union-intersection tests, and the rank adjusted method) is presented, and several new procedures are described. (40 ref)

Journal

Psychological BulletinAmerican Psychological Association

Published: May 1, 1977

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